P6.2: Rational Exponents Conversion

Last updated over 4 years ago

12 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Watch this video (and check out the practice problems) for more review with rational exponents.

Akwankyerɛ

Watch this video (and check out the practice problems) for more review with rational exponents.

P6.2: Rational Exponents Conversion

Last updated over 4 years ago

12 Nsɛmmisa

Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Watch this video (and check out the practice problems) for more review with rational exponents.

Akwankyerɛ

Watch this video (and check out the practice problems) for more review with rational exponents.

Which property of exponents helps us define rational exponents?

product rule: a^{m} \cdot a^{n} = a^{m+n}

division rule: \frac{a^{m}}{a^{n}}=a^{m-n}

zero rule: a^{0} = 1

power rule: (a^{m})^{n} = a^{mn}

Rewrite the expression in exponential form. Distribute the power where possible.
\sqrt{3ab}
Your answer should have no spaces, and should have rational exponent(s).

P6.2: Rational Exponents Conversion

P6.2: Rational Exponents Conversion

Which property of exponents helps us define rational exponents?

Rewrite the expression in exponential form. Distribute the power where possible.
\sqrt{3ab}
Your answer should have no spaces, and should have rational exponent(s).

Rewrite the expression in exponential form.
\sqrt[4]{18x^{6}y^{2}}
Your answer should be a term raised to a rational exponent.

Simplify. Give your answers in integer form, no spaces.
9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
(28^{\frac{3}{5}})^{\frac{5}{6}}

Simplify. Give your answers in simplest radical form, no spaces.
45^{-\frac{3}{2}}\cdot45^{2}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{p}\cdot\sqrt{p^{3}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{16}{\sqrt[4]{16^{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{16w^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[3]{80a^{4}b^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[4]{48x^{3}y^{8}z^{13}}

Which property of exponents helps us define rational exponents?

Rewrite the expression in exponential form. Distribute the power where possible.
\sqrt{3ab}
Your answer should have no spaces, and should have rational exponent(s).

Rewrite the expression in exponential form.
\sqrt[4]{18x^{6}y^{2}}
Your answer should be a term raised to a rational exponent.

Simplify. Give your answers in integer form, no spaces.
9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
(28^{\frac{3}{5}})^{\frac{5}{6}}

Simplify. Give your answers in simplest radical form, no spaces.
45^{-\frac{3}{2}}\cdot45^{2}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{p}\cdot\sqrt{p^{3}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{16}{\sqrt[4]{16^{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{16w^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[3]{80a^{4}b^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[4]{48x^{3}y^{8}z^{13}}

P6.2: Rational Exponents Conversion

P6.2: Rational Exponents Conversion

Which property of exponents helps us define rational exponents?

Rewrite the expression in exponential form. Distribute the power where possible.\sqrt{3ab}Your answer should have no spaces, and should have rational exponent(s).

Rewrite the expression in exponential form.\sqrt[4]{18x^{6}y^{2}}Your answer should be a term raised to a rational exponent.

Simplify. Give your answers in integer form, no spaces.9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

Simplify. Give your answers in simplest radical form, no spaces.\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

Simplify. Give your answers in simplest radical form, no spaces.(28^{\frac{3}{5}})^{\frac{5}{6}}

Simplify. Give your answers in simplest radical form, no spaces.45^{-\frac{3}{2}}\cdot45^{2}

Simplify. Give your answers in simplest radical form, no spaces.\sqrt[4]{p}\cdot\sqrt{p^{3}}

Simplify. Give your answers in simplest radical form, no spaces.\frac{16}{\sqrt[4]{16^{3}}}

Simplify. Give your answers in simplest radical form, no spaces.\sqrt[4]{16w^{6}}

REVIEWWrite the expression in simplest radical form. \sqrt[3]{80a^{4}b^{6}}

REVIEWWrite the expression in simplest radical form. \sqrt[4]{48x^{3}y^{8}z^{13}}

Which property of exponents helps us define rational exponents?

Rewrite the expression in exponential form. Distribute the power where possible.\sqrt{3ab}Your answer should have no spaces, and should have rational exponent(s).

Rewrite the expression in exponential form.\sqrt[4]{18x^{6}y^{2}}Your answer should be a term raised to a rational exponent.

Simplify. Give your answers in integer form, no spaces.9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

Simplify. Give your answers in simplest radical form, no spaces.\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

Simplify. Give your answers in simplest radical form, no spaces.(28^{\frac{3}{5}})^{\frac{5}{6}}

Simplify. Give your answers in simplest radical form, no spaces.45^{-\frac{3}{2}}\cdot45^{2}

Simplify. Give your answers in simplest radical form, no spaces.\sqrt[4]{p}\cdot\sqrt{p^{3}}

Simplify. Give your answers in simplest radical form, no spaces.\frac{16}{\sqrt[4]{16^{3}}}

Simplify. Give your answers in simplest radical form, no spaces.\sqrt[4]{16w^{6}}

REVIEWWrite the expression in simplest radical form. \sqrt[3]{80a^{4}b^{6}}

REVIEWWrite the expression in simplest radical form. \sqrt[4]{48x^{3}y^{8}z^{13}}

Rewrite the expression in exponential form. Distribute the power where possible.
\sqrt{3ab}
Your answer should have no spaces, and should have rational exponent(s).

Rewrite the expression in exponential form.
\sqrt[4]{18x^{6}y^{2}}
Your answer should be a term raised to a rational exponent.

Simplify. Give your answers in integer form, no spaces.
9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
(28^{\frac{3}{5}})^{\frac{5}{6}}

Simplify. Give your answers in simplest radical form, no spaces.
45^{-\frac{3}{2}}\cdot45^{2}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{p}\cdot\sqrt{p^{3}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{16}{\sqrt[4]{16^{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{16w^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[3]{80a^{4}b^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[4]{48x^{3}y^{8}z^{13}}

Rewrite the expression in exponential form. Distribute the power where possible.
\sqrt{3ab}
Your answer should have no spaces, and should have rational exponent(s).

Rewrite the expression in exponential form.
\sqrt[4]{18x^{6}y^{2}}
Your answer should be a term raised to a rational exponent.

Simplify. Give your answers in integer form, no spaces.
9^{\frac{1}{2}}\cdot9^{\frac{5}{2}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{x^{\frac{7}{3}}}{x^{\frac{2}{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
(28^{\frac{3}{5}})^{\frac{5}{6}}

Simplify. Give your answers in simplest radical form, no spaces.
45^{-\frac{3}{2}}\cdot45^{2}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{p}\cdot\sqrt{p^{3}}

Simplify. Give your answers in simplest radical form, no spaces.
\frac{16}{\sqrt[4]{16^{3}}}

Simplify. Give your answers in simplest radical form, no spaces.
\sqrt[4]{16w^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[3]{80a^{4}b^{6}}

REVIEW
Write the expression in simplest radical form.
\sqrt[4]{48x^{3}y^{8}z^{13}}